Communications in Analysis and Geometry

Volume 29 (2021)

Number 3

Asymptotically flat Einstein–Maxwell fields are inheriting

Pages: 579 – 627

DOI: https://dx.doi.org/10.4310/CAG.2021.v29.n3.a2

Authors

Piotr T. Chruściel (Faculty of Physics and Erwin Schrödinger Institute, University of Vienna, Austria)

Luc Nguyen (Mathematical Institute and Hilary Hall, University of Oxford, United Kingdom; and Erwin Schrödinger Institute, University of Vienna, Austria)

Paul Tod (Mathematical Institute and Saint John College, University of Oxford, United Kingdom; and Erwin Schrödinger Institute, University of Vienna, Austria)

András Vasy (Department of Mathematics, Stanford University, Stanford, California U.S.A.; and Erwin Schrödinger Institute, University of Vienna, Austria)

Abstract

We prove that Maxwell fields of asymptotically flat solutions of the Einstein–Maxwell equations inherit the stationarity of the metric.

Full Text (PDF format)

P.T.C. was supported in part by the Austrian Science Fund (FWF) under project P 23719-N16; and by Narodowe Centrum Nauki under the grant DEC-2011/03/B/ST1/02625.

A.V. thanks the NSF for partial support under grant number DMS-1664683, and the Simons Foundation for partial support via a Simons fellowship grant.

Received 23 February 2018

Accepted 25 August 2018

Published 10 May 2021